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Finding the Fourth Proportional to 68,342.15, 102,513.90 and 23,969.97

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Solution

The fourth proportional to 68,342.15, 102,513.90 and 23,969.97 is: 35,955.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,342.15 : 102,513.90 = 23,969.97 : x
  2. Step 2: Convert to fraction form
    68,342.15/102,513.90 = 23,969.97/x
  3. Step 3: Cross multiply
    68,342.15x = 102,513.90 × 23,969.97
  4. Step 4: Simplify right side
    68,342.15x = 2,457,255,107.58
  5. Step 5: Solve for x
    x = 2,457,255,107.58/68,342.15
  6. Step 6: Final answer
    x = 35,955.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.